bayberry vs Jamaica bayberry

bayberry and Jamaica bayberry both are nouns.

Word	Noun	Adjective	Verb	Adverb
bayberry	Yes	No	No	No
Jamaica bayberry	Yes	No	No	No

As nouns, bayberry and Jamaica bayberry are synonyms defined as:

Other synonyms of bayberry include bay-rum tree, Pimenta acris, wild cinnamon.

bayberry (noun)	Jamaica bayberry (noun)
West Indian tree; source of bay rum	West Indian tree; source of bay rum
deciduous aromatic shrub of eastern North America with grey-green wax-coated berries